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Finding the Fourth Proportional to 374.51, 561.77 and 283.39

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Solution

The fourth proportional to 374.51, 561.77 and 283.39 is: 425.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.51 : 561.77 = 283.39 : x
  2. Step 2: Convert to fraction form
    374.51/561.77 = 283.39/x
  3. Step 3: Cross multiply
    374.51x = 561.77 × 283.39
  4. Step 4: Simplify right side
    374.51x = 159,200.00
  5. Step 5: Solve for x
    x = 159,200.00/374.51
  6. Step 6: Final answer
    x = 425.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.